Use the following information to answer the question. A janitor at a large office building believes that his supply of light bulbs has too many defective bulbs. The janitor's null hypothesis is that the supply of light bulbs has a defect rate of p = 0.07 (the light bulb manufacturer's stated defect rate). Suppose he does a hypothesis test with a significance level of 0.05.
Symbolically, the null and alternative hypothesis are as follows: H 0 : p = 0.07 and H a : p 0.07.
-The janitor calculates a p- value for the hypothesis test of approximately 0.087. Choose the correct interpretation for the p- value.
A)The p- value tells us that the probability of concluding that the defect rate is equal to 0.07, when in fact it is greater than 0.07, is approximately 0.087.
B)The p- value tells us that the true population rate of defective light bulbs is approximately 0.087.
C)The p- value tells us that if the defect rate is 0.07, then the probability that the janitor will have 27 defective light bulbs out of 300 is approximately 0.087. At a significance level of 0.05, this would not be an unusual outcome.
D)None of these

Question

Use the following information to answer the question. A janitor at a large office building believes that his supply of light bulbs has too many defective bulbs. The janitor's null hypothesis is that the supply of light bulbs has a defect rate of p = 0.07 (the light bulb manufacturer's stated defect rate). Suppose he does a hypothesis test with a significance level of 0.05.
Symbolically, the null and alternative hypothesis are as follows: H 0 : p = 0.07 and H a : p > 0.07.
-The janitor calculates a p- value for the hypothesis test of approximately 0.087. Choose the correct interpretation for the p- value.
A)The p- value tells us that the probability of concluding that the defect rate is equal to 0.07, when in fact it is greater than 0.07, is approximately 0.087.
B)The p- value tells us that the true population rate of defective light bulbs is approximately 0.087.
C)The p- value tells us that if the defect rate is 0.07, then the probability that the janitor will have 27 defective light bulbs out of 300 is approximately 0.087. At a significance level of 0.05, this would not be an unusual outcome.
D)None of these

Quizplus · Accepted Answer

The p-value of 0.087 indicates the probability of observing the sample data, or something more extreme, assuming the null hypothesis is true. Since 0.087 is greater than the significance level of 0.05, it is not considered unusual, and the null hypothesis is not rejected.

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